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Finding the Fourth Proportional to 307,974.60, 461,961.90 and 213,496.20

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Solution

The fourth proportional to 307,974.60, 461,961.90 and 213,496.20 is: 320,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,974.60 : 461,961.90 = 213,496.20 : x
  2. Step 2: Convert to fraction form
    307,974.60/461,961.90 = 213,496.20/x
  3. Step 3: Cross multiply
    307,974.60x = 461,961.90 × 213,496.20
  4. Step 4: Simplify right side
    307,974.60x = 98,627,110,194.78
  5. Step 5: Solve for x
    x = 98,627,110,194.78/307,974.60
  6. Step 6: Final answer
    x = 320,244.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.